| Base | Representation |
|---|---|
| bin | 1100111000000111010… |
| … | …0010111010110111000 |
| 3 | 210011000021221102222200 |
| 4 | 3032001310113112320 |
| 5 | 12111030124220440 |
| 6 | 245343324350200 |
| 7 | 21661033123653 |
| oct | 3160164272670 |
| 9 | 704007842880 |
| 10 | 221221320120 |
| 11 | 85901739099 |
| 12 | 36a5a6a5360 |
| 13 | 17b26a44528 |
| 14 | a9c868689a |
| 15 | 5b4b53cc30 |
| hex | 3381d175b8 |
221221320120 has 96 divisors (see below), whose sum is σ = 719786405520. Its totient is φ = 58925306880.
The previous prime is 221221320113. The next prime is 221221320181. The reversal of 221221320120 is 21023122122.
221221320120 is a `hidden beast` number, since 2 + 2 + 1 + 221 + 320 + 120 = 666.
221221320120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 221221320093 and 221221320102.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31594 + ... + 665913.
Almost surely, 2221221320120 is an apocalyptic number.
221221320120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 221221320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359893202760).
221221320120 is an abundant number, since it is smaller than the sum of its proper divisors (498565085400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
221221320120 is a wasteful number, since it uses less digits than its factorization.
221221320120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 698405 (or 698398 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
Adding to 221221320120 its reverse (21023122122), we get a palindrome (242244442242).
The spelling of 221221320120 in words is "two hundred twenty-one billion, two hundred twenty-one million, three hundred twenty thousand, one hundred twenty".
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